Transmission conditions for a poroelastic interface in a rectangular domain

IF 3 4区工程技术 Q3 MECHANICS

Continuum Mechanics and Thermodynamics Pub Date : 2026-07-06 DOI:10.1007/s00161-026-01501-4

Natalya Vaysfeld, Daniel Peck, Yuriy Protserov, Zinaida Zhuravlova

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引用次数: 0

Abstract

We investigate a pair of rectangular poroelastic layers separated by a thin poroelastic interface. The domain has either permeable or impermeable boundaries. The interface’s material and hydrological properties may vary significantly from those of the main body, impacting the resulting displacement, stress and pore pressure fields. A total of eighteen transmission conditions are considered: eight independent conditions derived from asymptotic analysis and ten auxiliary conditions obtained through their combinations. Numerical simulations are performed for both mechanical loading and external pressure loading, providing a systematic comparison between the proposed transmission conditions and the classical ideal contact model. The results demonstrate pronounced qualitative and quantitative differences, with the contrast between the layers’ poroelastic constants significantly affecting the redistribution of stress, deformations and pore pressure, highlighting the limitations of idealized interface assumptions. The effect of boundary permeability on the poroelastic stress state reveal its significant role in the overall response of the system. The findings underscore the relevance of advanced transmission conditions for realistic modeling of layered poroelastic structures and provide guidance for selecting appropriate interface models in practical engineering applications.

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矩形域孔弹性界面的传输条件

我们研究了一对由薄孔弹性界面隔开的矩形孔弹性层。该领域具有可渗透或不可渗透的边界。界面的物质和水文性质可能与主体的物质和水文性质有很大不同，从而影响产生的位移、应力和孔隙压力场。共考虑了18个传输条件：由渐近分析得到的8个独立条件和通过它们的组合得到的10个辅助条件。对机械载荷和外部压力载荷进行了数值模拟，系统地比较了所提出的传动条件与经典理想接触模型之间的关系。结果显示出明显的定性和定量差异，层间孔隙弹性常数的差异显著影响应力、变形和孔隙压力的再分布，突出了理想界面假设的局限性。边界渗透率对孔隙弹性应力状态的影响揭示了其在系统整体响应中的重要作用。研究结果强调了先进的传输条件与层状孔弹性结构真实建模的相关性，并为实际工程应用中选择合适的界面模型提供了指导。

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来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.